λ
Harmonic Matrix

9,743,893

9743893
Deficient Odd Prime

9,743,893 has digital root 7. The neighboring primes are 9743861 and 9743897; its proper-divisor sum differs from the starting integer by -9,743,892.

Prime Factor Structure

Factorization String 9743893
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 9,743,894
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9743861 ← → #9743897

Radix Representation

Decimal 9743893
Binary 100101001010111000010101 (24 bits)
Octal 0o45127025
Hexadecimal 0x94AE15

Divisor Catalog (2)

Collatz Trajectory (207 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,743,893 29,231,680 14,615,840 7,307,920 3,653,960 1,826,980 913,490 456,745 1,370,236 685,118 342,559 1,027,678 513,839 1,541,518 770,759 2,312,278 1,156,139 3,468,418 1,734,209 5,202,628 2,601,314 1,300,657 3,901,972 1,950,986 975,493 2,926,480 1,463,240 731,620 365,810 182,905 548,716 274,358 137,179 411,538 205,769 617,308 308,654 154,327 462,982 231,491 694,474 347,237 1,041,712 520,856 260,428 130,214 65,107 195,322 97,661 292,984 146,492 73,246 36,623 109,870 54,935 164,806 82,403 247,210 123,605 370,816

More profiles

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